Effect of transport coefficients on the timedependence of density matrix.pdf

Effect of transport coefficients on the time-dependence of density matrix 1 1,2 1,2 2 Yu.V.Palchikov , G.G.Adamian , N.V.Antonenko and W.Scheid 1 Joint Institute for Nuclear Research, 141980 Dubna, Russia 2Institut f¨ur Theoretische Physik der Justus–Liebig–Universit¨at, D–35392 Giessen, Germany (February 1, 2008) 9 9 9 1 Abstract v o N For Lindblad’s master equation of open quantum systems with a general 2 quadratic form of the Hamiltonian, the propagator of the density matrix is analytically calculated by using path integral techniques. The time-dependent 1 v density matrix is applied to nuclear barrier penetration in heavy ion collisions 5 with inverted oscillator and double-well potentials. The quantum mechanical 1 0 decoherence of pairs of phase space histories in the propagator is studied and 1 shown that the decoherence depends crucially on the transport coefficients. 1 9 PACS: 03.65.-w, 05.30.-d, 24.60.-k 9 / t a m - d n o c : v i X r a Typeset using REVT X E 1 I. INTRODUCTION In many problems of nuclear physics and quantum optics, where one deals with open quantum systems, the memory time of the environment is very short and a Markovian approximation is suitable. Disr